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eduard
3 years ago
6

The following two triangles are similar. Solve for x, please show all your work!!

Mathematics
1 answer:
Murrr4er [49]3 years ago
6 0

Answer:

Step-by-step explanation:

Since 2 triangle are similar

So sides of both triangle are equal

So 72/X=12/10

X= 72x10/12

=60

X=60 is the answer

You might be interested in
How can we simplify radicals involving negative values?
RSB [31]

Answer:

using imaginary numbers

Step-by-step explanation:

4 0
2 years ago
An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.
katrin [286]

Answer:

20,475\ ways

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

C(n,r)=\frac{n!}{r!(n-r)!}

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

n=28\\r=4

substitute

C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}

simplify

C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}

C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}

C(28,4)=20,475\ ways

5 0
3 years ago
You work for a pharmacy and monthly sales of asthma inhalers in your pharmacy follows a normal distribution with a mean of 191 i
grin007 [14]

Answer: -1.33 .

Step-by-step explanation:

Formula to find the Z-score :

Z=\dfrac{\text{Expected value - Mean}}{\text{Standard deviation}}

Given: Mean = 191  and Standard deviation = 21

Then , the z-score corresponding to the expected value of 163 will be :

Z=\dfrac{163-191}{21}\\\\=\dfrac{-28}{21}\approx-1.33

Hence, the z score corresponding to selling 163 inhalers is -1.33 .

3 0
3 years ago
I need help this question?
Olegator [25]

Answer: the first option is the correct answer.

Step-by-step explanation:

Let x represent the number of necklaces that he makes in a year.

Profit = Revenue - cost

The cost of making each necklace is $5. In making necklaces in a year, the fixed cost is $5000. This means that the total cost of making x necklaces in a year is

5x + 5000

Sam sells each necklace for $10 each. This means that the total amount made from selling x necklaces is $10x.

For Sam to make profit of $1000 in a year, the number of necklaces that she must sell would be

1000 = 10x - (5x + 5000)

1000 = 10x - 5x - 5000

10x - 5x = 1000 + 5000

5x = 6000

x = 6000/5

x = 1200

7 0
3 years ago
The local tennis club needed new tennis balls. To pay for all the new balls, each person in the club donated $12.45. The bill fo
Maru [420]

Answer:

45 people are members at the tennis club

Step-by-step explanation:

Let the number of people in the tennis club be denoted as "x".

Since each of them donated $12.45, then total donated = 12.45x

Since they had $50.25 left over after paying the cost of $510 for the ball, then;

12.45x - 510 = 50.25

12.45x = 510 + 50.25

12.45x = 560.25

x = 560.25/12.45

x = 45

4 0
3 years ago
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